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Question 3: A spring with a mass of 4kg has natural length 3m. A force of...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
This problem is an example of over-damped harmonic motion. A mass ?=4kgm=4kg is attached to both a spring with spring constant ?=84N/mk=84N/m and a dash-pot with damping constant ?=40N⋅s/mc=40N⋅s/m . The ball is started in motion with initial position ?0=−5mx0=−5m and initial velocity ?0=3m/sv0=3m/s. Determine the position function ?(?)x(t) in meters. ?(?) = ?
A force of 30N is required to hold a spring that has been stretched from its natural length of 10 cm to a length of 18 cm. Calculate the spring constant,
2. A spring is stretched 10 cm by a force of 3 newtons. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 newtons when the velocity of the mass is 5 m/sec. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/sec, determine its position u at time t. Find the quasi frequency and...
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched 0.5 meters beyond its natural length by a force of 1 newtons. If the spring is stretched 1 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m =
a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length. the ball is started in motion with no initial velocity by displacing it 6 in above the equilibrium position. assuming no damping force, find an expression for a)the position of the ball at any time.b)the position of the bal at t=pai/12 secc)the circular frequency, natural frequency and period for this system
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
a-slug mass is hung onto a spring, whereupon the spring is stretched 6 in from its natural length. The mass is n started in motion from the equilibrium position with an initial velocity of 4 ft/sec in the upward direction. Find the subsequent motion of the mass, if the force due to air resistance is -2t lb.
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...